Abstract
The two-dimensional inviscid transonic flow about a circular cylinder is investigated. To do this, the Euler equations are integrated numerically with a time-dependent technique. The integration is based on an high-resolution finite volume upwind method.Time scales are introduced and the flow at very short, short and large times is studied. Attention is focused on the behaviour of the numerical solution at large times, after the breakdown of symmetry and the onset of an oscillating solution have occurred. This solution is known to be periodic at Mach number between 0.5 and 0.6.At higher speed, however, a richer behaviour is observed. As the Mach number is increased from 0.6 to 0.98 the numerical solution undergoes two transitions. Through a first one the periodical, regular flow enters a chaotic, turbulent regime. Through the second transition the chaotic flow comes back to an almost stationary state. The flow in the chaotic and in the almost stationary regimes is investigated. A numerical conjecture for the behaviour of the solution at large times is advanced.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference16 articles.
1. Salas, M. D. 1983 Recent developments in transonic Euler flow over a circular cylinder.Mathematics and Computers in Simulation 25.
2. Desse, J. M. & Pegneaux, J. C. 1990 Whole-field measurement of gas density from simultaneously recorded interferograms.Exps. Fluids 12,1–9.
3. Buning, P. G. & Steger, J. L. 1982 Solution of the 2-dimensional Euler equations with generalized coordinate transformation using flux vector splitting. AIAA Paper 82-0971.
4. Di Mascio, A. 1992 Simulazione di flussi vorticosi mediante il modello di fluido compressibile non viscoso . PhD Thesis,Universitá ‘La Sapienza'’,Roma
5. Shang, J. S. 1982 Oscillatory compressible flow around a cylinder. AIAA Paper 82–0098.
Cited by
16 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献